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If the transfer is from log(wealth) players to linear(wealth) ones, and at the same time we know over the long run the former almost surly makes the most return, then here comes the question: where is wealth going on earth?
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FWIW, Kelly criterion has a key assumption that your strategy has an edge against the market all the time. I really doubt it’s true even for the most sophisticated prop trader, aka maybe for the most of time but not all.